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An algorithm of semi-Delaunay triangulation of points cloud scattered on a surface

Kucwaj J.

Computer Science

2014

Vol. 15 (3)

329--348

The purpose of this paper is to generalize the Delaunay[13] triangulation onto surfaces. A formal definition and an appropriate algorithm are presented. Starting from a plane domain Delaunay triangulation definition, a theoretical approach is evolved (which is a background for further considerations). It has been proven that, in the case of a plane surface, the introduced Delaunay triangulation of surfaces is identical to classical Delaunay triangulation of the plane domain. The proposed algorithm is implemented and numerical results are shown.